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57000108 = 22311617079
BaseRepresentation
bin1101100101110…
…0000010101100
310222020220110010
43121130002230
5104043000413
65353413220
71261331034
oct331340254
9128226403
1057000108
112a1a2030
121710a210
13ba69699
1477da8c4
15500ddc3
hex365c0ac

57000108 has 48 divisors (see below), whose sum is σ = 147490560. Its totient is φ = 16987200.

The previous prime is 57000107. The next prime is 57000121. The reversal of 57000108 is 80100075.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57000107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4513 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (3072720).

Almost surely, 257000108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57000108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73745280).

57000108 is an abundant number, since it is smaller than the sum of its proper divisors (90490452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57000108 is a wasteful number, since it uses less digits than its factorization.

57000108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 57000108 is about 7549.8415877421. The cubic root of 57000108 is about 384.8503561908.

The spelling of 57000108 in words is "fifty-seven million, one hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 7079 8052 14158 21237 28316 42474 77869 84948 155738 233607 311476 431819 467214 863638 934428 1295457 1727276 2590914 4750009 5181828 9500018 14250027 19000036 28500054 57000108